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change skin to use different algorithm for "incremental" that is

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supposed to be more accurate.
This commit is contained in:
Adrian Mariano 2024-01-27 12:12:32 -05:00
parent d6fe226fca
commit 3c8e76f65d
1 changed files with 51 additions and 20 deletions
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69
skin.scad
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@ -1832,13 +1832,14 @@ function path_sweep(shape, path, method="incremental", normal, closed, twist=0,
spathfrac = scale_by_length ? path_length_fractions(path, closed) : [for(i=[0:1:len(path)]) i / (len(path)-(closed?0:1))],
L = len(path),
unscaled_transform_list =
method=="incremental" ?
method=="old_incremental" ?
let(rotations =
[for( i = 0,
ynormal = normal - (normal * tangents[0])*tangents[0],
rotation = frame_map(y=ynormal, z=tangents[0])
;
i < len(tangents) + (closed?1:0) ;
i < len(tangents) + (closed?1:0)
;
rotation = i<len(tangents)-1+(closed?1:0)? rot(from=tangents[i],to=tangents[(i+1)%L])*rotation : undef,
i=i+1
)
@ -1864,6 +1865,49 @@ function path_sweep(shape, path, method="incremental", normal, closed, twist=0,
adjusted_final = !closed ? undef :
translate(path[0]) * rotations[0] * zrot(-correction_twist+correction_twist%(360/symmetry)-twist)
) [for(i=idx(path)) translate(path[i]) * rotations[i] * zrot((twistfix-twist)*tpathfrac[i]), if(closed) adjusted_final]
: method=="incremental" ? // Implements Rotation Minimizing Frame from "Computation of Rotation Minimizing Frames"
// by Wenping Yang, Bert Büttler, Dayue Zheng, Yang Liu, 2008
// http://doi.acm.org/10.1145/1330511.1330513
let(rotations = // https://www.microsoft.com/en-us/research/wp-content/uploads/2016/12/Computation-of-rotation-minimizing-frames.pdf
[for( i = 0,
ynormal = normal - (normal * tangents[0])*tangents[0],
rotation = frame_map(y=ynormal, z=tangents[0]),
r=ynormal
;
i < len(tangents) + (closed?1:0)
;
v1 = path[(i+1)%L]-path[i%L],
c1 = v1*v1,
rL = r - 2*(v1*r)/c1 * v1,
tL = tangents[i%L] - 2*(v1*tangents[i%L])/c1 * v1,
v2 = tangents[(i+1)%L]-tL,
c2 = v2*v2,
r = rL - (2/c2)*(v2*rL)*v2,
rotation = i<len(tangents)-1+(closed?1:0)? frame_map(y=r,z=tangents[(i+1)%L]) : undef,
i=i+1
)
rotation],
// The mismatch is the inverse of the last transform times the first one for the closed case, or the inverse of the
// desired final transform times the realized final transform in the open case. Note that when closed==true the last transform
// is a actually looped around and applies to the first point position, so if we got back exactly where we started
// then it will be the identity, but we might have accumulated some twist which will show up as a rotation around the
// X axis. Similarly, in the closed==false case the desired and actual transformations can only differ in the twist,
// so we can need to calculate the twist angle so we can apply a correction, which we distribute uniformly over the whole path.
reference_rot = closed ? rotations[0] :
is_undef(last_normal) ? last(rotations) :
let(
last_tangent = last(tangents),
lastynormal = last_normal - (last_normal * last_tangent) * last_tangent
)
frame_map(y=lastynormal, z=last_tangent),
mismatch = transpose(last(rotations)) * reference_rot,
correction_twist = atan2(mismatch[1][0], mismatch[0][0]),
// Spread out this extra twist over the whole sweep so that it doesn't occur
// abruptly as an artifact at the last step.
twistfix = correction_twist%(360/symmetry),
adjusted_final = !closed ? undef :
translate(path[0]) * rotations[0] * zrot(-correction_twist+correction_twist%(360/symmetry)-twist)
) [for(i=idx(path)) translate(path[i]) * rotations[i] * zrot((twistfix-twist)*tpathfrac[i]), if(closed) adjusted_final]
: method=="manual" ?
[for(i=[0:L-(closed?0:1)]) let(
ynormal = relaxed ? normals[i%L] : normals[i%L] - (normals[i%L] * tangents[i%L])*tangents[i%L],
@ -1873,21 +1917,6 @@ function path_sweep(shape, path, method="incremental", normal, closed, twist=0,
assert(approx(ynormal*znormal,0),str("Supplied normal is parallel to the path tangent at point ",i))
translate(path[i%L])*rotation*zrot(-twist*tpathfrac[i])
]
: method=="cross"?
let(
crossnormal_mid = [for(i=[(closed?0:1):L-(closed?1:2)])
let(v= cross( select(path,i+1)-path[i], path[i]-select(path,i-1)),
f=assert(norm(v)>EPSILON)
)
v
],
crossnormal = closed ? crossnormal_mid : [crossnormal_mid[0], each crossnormal_mid, last(crossnormal_mid)]
)
[for(i=[0:L-(closed?0:1)]) let(
rotation = frame_map(x=crossnormal[i%L], z=tangents[i%L])
)
translate(path[i%L])*rotation*zrot(-twist*tpathfrac[i])
]
: method=="natural" ? // map x axis of shape to the path normal, which points in direction of curvature
let (pathnormal = path_normals(path, tangents, closed))
assert(all_defined(pathnormal),"Natural normal vanishes on your curve, select a different method")
@ -3129,6 +3158,8 @@ function associate_vertices(polygons, split, curpoly=0) =
// );
function _tex_fn_default() = 16;
__vnf_no_n_mesg=" texture is a VNF so it does not accept n. Set sample rate for VNF textures using the tex_samples parameter to cyl(), linear_sweep() or rotate_sweep().";
function texture(tex, n, border, gap, roughness, inset) =
@ -3622,7 +3653,7 @@ function _textured_linear_sweep(
let(
caps = is_bool(caps) ? [caps,caps] : caps,
regions = is_path(region,2)? [[region]] : region_parts(region),
tex = is_string(texture)? texture(texture) : texture,
tex = is_string(texture)? texture(texture,$fn=_tex_fn_default()) : texture,
dummy = assert(is_undef(samples) || is_vnf(tex), "You gave the tex_samples argument with a heightfield texture, which is not permitted. Use the n= argument to texture() instead"),
dummy2=is_bool(rot)?echo("boolean value for tex_rot is deprecated. Use a numerical angle, one of 0, 90, 180, or 270.")0:0,
texture = !rot? tex :
@ -3897,7 +3928,7 @@ function _textured_revolution(
)
assert(closed || is_path(shape,2))
let(
tex = is_string(texture)? texture(texture) : texture,
tex = is_string(texture)? texture(texture,$fn=_tex_fn_default()) : texture,
dummy = assert(is_undef(samples) || is_vnf(tex), "You gave the tex_samples argument with a heightfield texture, which is not permitted. Use the n= argument to texture() instead"),
dummy2=is_bool(rot)?echo("boolean value for tex_rot is deprecated. Use a numerical angle, one of 0, 90, 180, or 270.")0:0,
texture = !rot? tex :